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82317185722434 = 2313316073388519
BaseRepresentation
bin10010101101110111110110…
…100111010010100001000010
3101210110110001012121001112110
4102231313312213102201002
541242141044021104214
6451023554300240150
723224135412563065
oct2255676647224102
9353413035531473
1082317185722434
1124257582376913
129295756b40056
1336c1628844000
14164825cbac8dc
1597b3d3c36159
hex4addf69d2842

82317185722434 has 64 divisors (see below), whose sum is σ = 178359212908800. Its totient is φ = 25326723816576.

The previous prime is 82317185722423. The next prime is 82317185722477. The reversal of 82317185722434 is 43422758171328.

It is a super-2 number, since 2×823171857224342 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211680027 + ... + 212068545.

It is an arithmetic number, because the mean of its divisors is an integer number (2786862701700).

Almost surely, 282317185722434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82317185722434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89179606454400).

82317185722434 is an abundant number, since it is smaller than the sum of its proper divisors (96042027186366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82317185722434 is a wasteful number, since it uses less digits than its factorization.

82317185722434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404636 (or 404610 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 57.

The spelling of 82317185722434 in words is "eighty-two trillion, three hundred seventeen billion, one hundred eighty-five million, seven hundred twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2197 4394 6591 13182 16073 32146 48219 96438 208949 388519 417898 626847 777038 1165557 1253694 2331114 2716337 5050747 5432674 8149011 10101494 15152241 16298022 30304482 35312381 65659711 70624762 105937143 131319422 196979133 211874286 393958266 853576243 1707152486 2560728729 5121457458 6244665887 12489331774 18733997661 37467995322 81180656531 162361313062 243541969593 487083939186 1055348534903 2110697069806 3166045604709 6332091209418 13719530953739 27439061907478 41158592861217 82317185722434